Classification of relation types of Ore extensions of dimension 5
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Publication:2984887
DOI10.1080/00927872.2016.1177830zbMATH Open1386.16018arXiv1512.03378OpenAlexW2963633957MaRDI QIDQ2984887
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Publication date: 12 May 2017
Published in: (Search for Journal in Brave)
Abstract: In order to study AS-regular algebras of dimension 5, we consider dimension 5 graded iterated Ore extensions generated in degree one. We classify the possible degrees of relations and structure of the free resolution for extensions with 3 and 4 generators. We show that every known type of algebra of dimension 5 can be realized by an Ore extension and we consider which of these types cannot be realized by an enveloping algebra.
Full work available at URL: https://arxiv.org/abs/1512.03378
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